Pith Number

pith:EPLN2QEY

pith:2014:EPLN2QEY5K5AVCJIKD5M7YWCSC

not attested not anchored not stored refs pending

W$^*$-superrigidity for wreath products with groups having positive first $\ell^2$-Betti number

Mihaita Berbec

arxiv:1403.7110 v2 · 2014-03-27 · math.OA · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EPLN2QEY5K5AVCJIKD5M7YWCSC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:31:35.999882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23d6dd4098eaba0a892850facfe2c290bf8b135e8daf608967c1be7c77738824

Aliases

arxiv: 1403.7110 · arxiv_version: 1403.7110v2 · doi: 10.48550/arxiv.1403.7110 · pith_short_12: EPLN2QEY5K5A · pith_short_16: EPLN2QEY5K5AVCJI · pith_short_8: EPLN2QEY

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/EPLN2QEY5K5AVCJIKD5M7YWCSC \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 23d6dd4098eaba0a892850facfe2c290bf8b135e8daf608967c1be7c77738824

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "382ffde43b8ab9762a5997d1698edf0d2f81cf95fab732941e496cc5f394497f",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-03-27T16:13:44Z",
    "title_canon_sha256": "b2d259c7f37ee30ac0b96d3f18d01a973afe692f32723185d4816b969f98d9da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7110",
    "kind": "arxiv",
    "version": 2
  }
}